Two subgroups H and K of a group are commensurable iff their intersection has finite index in both H and K. We prove that hyper-(abelian or finite) groups with finite abelian total rank in which every subgroup is commensurable to a normal one are finite-by-abelian-by-finite.
A class of groups with inert subgroups
RINAURO, Silvana
2012-01-01
Abstract
Two subgroups H and K of a group are commensurable iff their intersection has finite index in both H and K. We prove that hyper-(abelian or finite) groups with finite abelian total rank in which every subgroup is commensurable to a normal one are finite-by-abelian-by-finite.File in questo prodotto:
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